Q1. What is a condVar in Java? If I see the code below, does a condition variable necessarily have to be within the \'mutex.acquire()\' and
Q1) The best resource for this is probably the JavaDoc for the Condition class. Condition variables are a mechanism that allow you to test that a particular condition holds true before allowing your method to proceed. In the case of your example there are two conditions, notFull and notEmpty.
The put method shown in your example waits for the notFull condition to become true before it attempts to add an element into the array, and once the insertion completes it signals the notEmpty condition to wake up any threads blocked waiting to remove an element from the array.
...does a condition variable necessarily have to be within the 'mutex.acquire()' and 'mutex.release()' block?
Any calls to change the condition variables do need to be within a synchronized region - this can be through the built in synchronized keyword or one of the synchronizer classes provided by the java.util.concurrent package such as Lock. If you did not synchronize the condition variables there are two possible negative outcomes:
A missed signal - this is where one thread checks a condition and finds it does not hold, but before it blocks another thread comes in, performs some action to cause the condition to become true, and then signals all threads waiting on the condition. Unfortunately the first thread has already checked the condition and will block anyway even though it could actually proceed.
The second issue is the usual problem where you can have multiple threads attempting to modify the shared state simultaneously. In the case of your example multiple threads may call put() simultaneously, all of them then check the condition and see that the array is not full and attempt to insert into it, thereby overwriting elements in the array.
Q2) Timed waits can be useful for debugging purposes as they allow you to log information in the event the thread is not woken up via a signal.
Using sleep() in place of a timed wait is NOT a good idea, because as mentioned above you need to call the await() method within a synchronized region, and sleep() does not release any held locks, while await() does. This means that any sleeping thread will still hold the lock(s) they have acquired, causing other threads to block unnecessarily.
Q4) Technically, no you don't need to call signal() if you're using a timed wait, however, doing so means that all waits will not return until the timeout has elapsed, which is inefficient to say the least.